Regularization in L1 for the Ornstein-Uhlenbeck semigroup

Speaker(s)

Witold Bednorz

Affiliation

Uniwersytet Warszawski

Date

May 28, 2015, 12:15 p.m.

Room

room 3260

Seminar

Seminar of Probability Group

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In this talk I will present a new result of J. Lehec about  regularization property of OU semigroup. Result of this type was first  established by K. Oleszkiewicz et al. but with dimension depending constant.

The idea of R. Eldan  and J. Lee was to apply tools from the stochastic analysis (such as change of measure) in order to remove the dimension dependence. Quite recently J. Lehec significantly improved the proof exposition and we detail the idea in order to encourage further studies in this direction.

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